颗粒物质中圆棒受到的静摩擦力

通过实验研究了圆棒在颗粒物质中受到的摩擦力与颗粒填充高度及棒径的关系.观测到摩擦力随颗粒高度和棒径而增大.用连续介质模型推导了摩擦力公式，与实验观测基本一致.结果表明，摩擦力和棒径成正比；当颗粒高度很小时，摩擦力与颗粒高度平方成正比；而当颗粒堆积很高时，摩擦力与高度成正比，即静摩擦力与接触面积成正比. 关键词： 颗粒物质 摩擦力

The static friction force on a rod immersed in granular matter

The dependence of the static friction force exerted on a rod immersed in granular matter on the filling height of granules and the diameter of the rod is studied experimentally. It is observed that the friction force increases with the filling height of granules and increasing diameter of the rod. A model based on the continuous media is given, which can explain the observed results. It is demonstrated that the friction force is proportional to the diameter of the rod and the square of the filling height in the case of shallow granules, while it is a linear function of the filling height in the case of very deep granules,i.e. the friction force is proportional to the area of the interface between the rod and granules.